Submission

Revision submitted

1. A​ ​simple​ ​numerical​ ​algorithm​ ​for​ ​generating​ ​circular​ ​porous​ ​pattern​ ​formation​ ​on​ ​curved​ ​surfaces (20240921, cfdkim) Youngjin Hwang, Seungyoon Kang, Jyoti, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
2. A second-order finite difference method for the Black-Scholes model without far-field boundary conditions (20241102 due on Jul 09) Jian Wang, Xinpei Wu, Youngjin Hwang, Yunjae Nam, Soobin Kwak, Taehui Lee, Junseok Kim, submitted, Journal of Financial Stability, 2025.
3. Surface Reconstruction of Narrow-band Guided Gray-Scott Model (20250312) Jian Wang, Xuejuan Chen, Bowen Geng, Mengyu Luo, Shanshan Ge, Haozhe Wang, Jialin Chen, Junseok Kim, submitted, Computer Aided Geometric Design, 2025.
4. A normalized variable-order time-fractional diffusion equation (20250725) Chaeyoung Lee, Junseok Kim, submitted, ​​Physica A: Statistical Mechanics and its Applications, 2025.
5. Fully explicit numerical method for the incompressible Navier-Stokes equation (20250806, September 13) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, International Journal for Numerical Methods in Fluids, 2025.
6. Reconstruction of convexity-preserving local volatility functions (20250417) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Journal of Computational Science, 2025. 
7. Stability​ ​analysis​ ​for​ ​maximum​ ​principle​ ​preserving​ ​fully​ ​explicit​ ​approach​ ​of​ ​the​ ​surface​ ​Allen-Cahn​ ​equation​ ​on​ ​curved​ ​surfaces  (20250804, Due by September 11 ) Hyundong​ ​Kim,​ ​Jian​ ​Wang,​ ​Seokjun​ ​Ham,​ ​Youngjin​ ​Hwang,​ Jyoti,​ ​Junseok​ ​Kim, submitted, ​​Electronic Research Archive, 2025.​
8. Restoration of partially damaged fingerprints using a partial differential equation (20250514, Due by Sep 15, 2025) Sangkwon Kim, Yibao Li, Soobin Kwak, Junseok Kim, submitted, Pattern Recognition, 2025.

In revision

1. An unconditionally stable denoising algorithm on non-uniform grids (20250204, !!)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, Transactions​ ​on​ ​Graphics, 2025.
2. A space-adaptive, unconditionally stable, and maximum bound preserving scheme for the 3D Allen–Cahn equation (20250627) Soobin Kwak, Junseok Kim, submitted, ​Applied Mathematical Modelling, 2025.
3. A positivity-preserving numerical method for the ternary Allen-Cahn equation (20250514) Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Mathematical Methods in the Applied Sciences, 2025.

Submitted

1. Microstructural evolution prediction in the phase field crystal model with VAE-LSTM and ensemble kalman filtering (20250324)  Jiachen Feng, Wenxuan Xie, Zhixian Lv, Qing Xi, Junseok Kim, Yibao Li , submitted, Journal of Computational Physics, 2025.
2. Non-isothermal hydrodynamic modeling and analysis for the flow boiling in microchannels based heat exchanger (20250420) Jingjie Cheng, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Communications in Nonlinear Science and Numerical Simulation, 2025.
3. Image​ ​Inpainting​ ​with​ ​the​ ​Allen-Cahn​ ​Equation​ ​Incorporating​ ​High-Order​ ​Polynomial​ ​Potentials (20250519) Jian Wang, Shanshan Ge, Keyong Chen, Ziwei Han, Junseok Kim, submitted, Journal of Computational Mathematics, 2025.
4. An efficient algorithm for Swift-Hohenberg pattern formation on evolving surfaces (20250522) Yibao Li, An Huang, Junseok Kim, submitted, Computers and Mathematics with Applications, 2025.
5. Turing instability and complex pattern evolution of a Gierer-Meinhardt model (20250530) Canrong Tian, Mengxin Chen, Xue-Zhi Li, Junseok Kim, submitted,  ​​Journal of Mathematical Analysis and Applications, 2025.
6. Curvature-dependent area preserving immersed boundary method for binary immiscible fluids (20250602 !!) Haobo Hua, Pu Han, Huan Han, Seunggyu Lee, Hyundong Kim, Junseok Kim, submitted, Theoretical​ ​and​ ​Computational​ ​Fluid​ ​Dynamics, 2025.
7. Multi material stress-constrained topology optimization based on the phase field method (20250609) Wenxuan Xie, Zhuoheng Wang, Junseok Kim, Yibao Li, submitted, Engineering​ ​with​ ​Computers, 2025.
8. Reconstruction of diblock copolymer melts with an EnKF-based restoration framework (20250613) Wenxuan Xie; Jiachen Feng; Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2025.
9. Fast pricing in Android platform calculator for four-asset step-down structure ELS using Brownian bridge (20240625, !!) Hyundong Kim, Juho Ma, Sanghyun Lee,  Junseok Kim, submitted, Journal​ ​of​ ​Supercomputing, 2025.
10. Pinning phenomena in numerical schemes of the Allen-Cahn equation (20250626) Junseok Kim, Zhengang Li, Xinpei Wu, Soobin Kwak, submitted, Computers and Mathematics with Applications, 2025.
11. A numerical method for the 3D nonlocal Cahn-Hilliard equation with a space-dependent parameter (20250627) Xinpei Wu, Juho Ma, Junseok Kim, submitted, Journal of Computational and Applied Mathematics​, 2025.
12. An​ ​unconditionally​ ​stable​ ​scheme​ ​for​ ​the​ ​Modica–Mortola​ ​equation​ ​with​ ​a​ ​variable​ ​interfacial​ ​parameter (20250712) Seokjun Ham, Junxiang Yang, Youngjin Hwang, Junseok Kim, submitted, Communications on Applied Mathematics and Computation, 2025.
13. Numerical investigation of reverse equity-linked securities (20250704) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Computational​ ​Economics, 2025.
14. Review of the conservative Allen-Cahn equations (20250708) Youngjin Hwang, Jyoti, Juho Ma, Yunjae Nam, Junseok Kim, submitted,  ​​Engineering Analysis with Boundary Elements, 2025.
15. Reduced-order modeling of dendritic crystal growth via β-variational autoencoders and time-series transformer architectures (20250710) Zhixian Lv, Jiahao Huang, Chengyang Yue, Junseok Kim, Yibao Li, submitted, Computers and Mathematics with Applications, 2025.
16. An efficient finite volume lattice Boltzmann method on nonuniform triangular meshes for curved surfaces (20250710) Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Engineering​ ​with​ ​Computers, 2025.
17. An efficient hybrid numerical method for the high-order Allen-Cahn equation (20250712) Youngjin Hwang, Yunjae Nam, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2025.
18. Energy-Stable and L2/H1-Stable BDF2 Viscosity Splitting Method for the Penalized Incompressible Navier–Stokes Equations (20250718) Junxiang Yang, Yibao Li, Junseok Kim, submitted, ​Journal of Computational Physics, 2025.​
19. Is​ ​the​ ​grounding​ ​resistance​ ​of​ ​transmission​ ​line​ ​towers​ ​affected​ ​by​ ​climatic​ ​condition​ ​in​ ​severely​ ​cold​ ​areas?-Analysis​ ​from​ ​time​ ​series​ perspective (202507022) Minzhen Wang, Gang Liu, Yujie Pei, Jiyao Zhang, Haozhe Wang, Jian Wang, Junseok Kim, submitted, AIMS Mathematics​, 2025.
20. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20250724) Youngjin Hwang, Junseok Kim, submitted, ​Dynamical Systems, 2025.
21. A second-order unconditionally energy stable scheme for the Lifshitz-Petrich model integrated with observed data (20250726) ​Xiaochuan​ ​Hu, Junseok Kim, Yibao Li, submitted,  ​​Applied Mathematics and Computation, 2025.
22. A Novel Shape Transformation Method via the Nonlocal Modified Allen-Cahn Model: Analysis and Numerical Simulations (20250726) Shuying Zhai, Zhifeng Weng, Junseok Kim, submitted, Computer Methods in Applied Mechanics and Engineering, 2025.
23. Computational​ ​modeling​ ​of​ ​incompressible​ ​two-phase​ ​fluid​ ​dynamics​ ​via​ ​the​ ​conservative​ ​Allen–Cahn​ ​framework​ ​on​ ​a​ ​virtual​ ​cube (20250728) ​Ahmed​ ​Zeeshan,​ ​Juho​ ​Ma,​ ​Zhengang​ ​Li,​ ​Xinpei​ ​Wu, Junseok Kim, submitted, Journal of Computational Science, 2025.
24. An​ ​efficient​ ​and​ ​accurate​ ​adaptive​ ​time-stepping​ ​method​ ​for​ ​the​ ​Allen-Cahn​ ​equation (20250728) Hyundong Kim, Juho Ma, Hyunho Shin, Junseok Kim, submitted, Computers and Mathematics with Applications, 2025.
25. A novel U-shaped spatial-channel attention neural operator for simulating the coupled Navier-Stokes-Cahn-Hilliard-heat transfer system (20250729) ​Zhixian Lv, Yuhong Li, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Physics of Fluids, 2025.
26. Reconstructing the quadratic local volatility surface for European options (20250729, cfdkim) Yunjae Nam, Daeun Jeong, Hyundong Kim, Minjoon Bang, Changwoo Yoo, Junseok Kim, submitted, ​Computational​ ​Economics, 2025.
27. A​ ​meshless​ ​method​ ​combined​ ​with​ ​operator​ ​splitting​ ​for​ ​solving​ ​the​ ​Allen–Cahn​ ​equation (20250801) Jilong He, Junseok Kim, submitted, The​ ​European​ ​Physical​ ​Journal​ ​Plus, 2025.
28. Maximum​ ​principle-preserving​ ​explicit​ ​scheme​ ​for​ ​the​ ​conservative​ ​Allen–Cahn​ ​equation (20250806) Youngjin Hwang, Junseok Kim, submitted, Mathematical Methods in the Applied Sciences, 2025.
29. Maximum principle-preserving explicit scheme for the ternary Allen–Cahn equation (20250807) Youngjin Hwang, Junseok Kim, submitted, Numerical​ ​Mathematics:​ ​Theory,​ ​Methods​ ​and​ ​Applications, 2025.
30. A time-fractional diffusion model with normalization and short memory effect (20250701) Junxiang Yang, Seokjun Ham, Soobin Kwak, Yunjae Nam, Zhengang Li, Xinpei Wu, Juho Ma, Junseok Kim, submitted, Engineering Analysis with Boundary Elements, 2025.
31. A numerical analysis of the normalized time-fractional Keller-Segel equations (20250807, ​cfdkim​) Chaeyoung Lee, Ana Yun, Darae Jeong, Yibao Li, Juho Ma, Yunjae Nam, Junseok Kim, submitted, ​Acta​ ​Applicandae​ ​Mathematicae, 2025.
32. Modified Allen–Cahn equation for curvature-dependent tissue growth on three-dimensional surfaces (20250811) Soobin Kwak, Yunjae Nam, Jyoti, Juho Ma, and Junseok Kim, Engineering​ ​with​ ​Computers, 2025.
33. ​Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20250812) Seokjun Ham, Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, The​ ​European​ ​Physical​ ​Journal​ ​E, 2025.
34. An unconditional energy stable numerical scheme for fluid-surfactant system with data assimilation method (20250812) Xiaochuan Hu, Xin Song, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
35. Traveling​ ​wave​ ​solutions​ ​for​ ​a​ ​normalized​ ​time-fractional​ ​predator-prey​ ​model (20250813) Seokjun​ ​Ham, ​Soobin​ ​Kwak,​ ​Ana​ ​Yun,​ ​Jyoti​ ​-,​ ​Yunjae​ ​Nam,​ ​Junseok​ ​Kim, submitted,  ​​Journal of Computational Mathematics, 2025.
36. Numerical​ ​analysis​ ​of​ ​the​ ​Allen-Cahn​ ​equation​ ​on​ ​non-uniform​ ​cell​ ​sizes (20250816 cfdkim) Binhu​ ​Xia,​ ​Kun​ ​Wang,​ ​Yunjae​ ​Nam,​ ​Zhengang​ ​Li,​ ​Xinpei​ ​Wu,​ ​Soobin Kwak, Juho Ma, Junseok​ ​Kim​, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2025.
37. Changes​ ​in​ ​Global​ ​Trade​ ​Centers:​ ​Based​ ​on​ ​a​ ​Visual​ ​Assessment​ ​Method (20250818) Jian​ ​Wang;​ ​Haixiao​ ​Wang;​ ​Wei​ ​Shao;​ ​Jie​ ​Chen;​ ​Shanshan​ ​Ge;​ ​Junseok​ ​Kim, submitted,  ​​Chaos: An Interdisciplinary Journal of Nonlinear Science, 2025.
38. A practical algorithm for image inpainting based on a predator-prey model (20250822) Jian Wang, Mengyu Luo, Junseok Kim, submitted, Displays, 2025.
39. Reconstructing smooth local volatility surfaces for cryptocurrency options (20250822) Yunjae Nam, Youngjin Hwang, Junseok Kim, submitted, ​International​ ​Journal​ ​of​ ​Applied​ ​and​ ​Computational​ ​Mathematics, 2025.​
40. Practical volume merging method for triply periodic minimal structures (20250822) Seungyoon Kang, Yibao Li, Soobin Kwak, Yongho Choi, Junseok Kim, submitted, ​International Journal for Numerical Methods in Biomedical Engineering, 2025.
41. An unconditionally stable hybrid numerical method for the gradient flow for the high-order Modica-Mortola functional (20250826) Hyundong Kim, Zhengang Li, Xinpei Wu, Yunjae Nam, Junseok Kim, submitted, Electronic Research Archive​, 2025.
42. A normalized Caputo-Fabrizio fractional diffusion equation with decreasing weighting functions (20250907)  Binhu Xia, Fatao Chen, Kun Wang, Yunjae Nam, Junseok Kim, submitted, Zeitschrift​ ​für​ ​angewandte​ ​Mathematik​ ​und​ ​Physik, 2025.
43. A multigrid solver for the Allen-Cahn equation on a virtual cubic surface (20250911​) Junxiang Yang, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Hyundong Kim, Junseok Kim, submitted, Extreme Mechanics Letters, 2025.
44. A Novel Method for Constructing 3D Models of Voronoi-Based Hollow and Lattice Structures (20250912) Jian Wang, Qin Liu, Junseok Kim, submitted, ​Applied Mathematical Modelling, 2025.

Applied​ ​Numerical​ ​Mathematics: 한 달에 분야 별 최대 5편까지 제출 가능 저널

Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation: 2026년부터 논문 제출

Applied Mathematics and Computation: 유사도 1% 초과하면 데스크 리젝됨

Journal​ ​of​ ​Applied​ ​Mathematics​ ​and​ ​Computing: Scope가 안 맞음, 논문 제출 X

In preparation

1. Structure-guided mesh denoising method by reaction-diffusion equation (20250719), Jian Wang, Yanshan Wang, Ziwei Han, Junseok Kim, submitted, Computer-Aided Design, 2025.
2. Efficient​ ​phase​ ​field​ ​structural​ ​design​ ​algorithm​ ​for​ ​reliability-based​ ​topology​ ​optimization​ ​with​ ​material​ ​uncertainties
3. Binary classification of noisy and imbalanced data using a high-order Allen-Cahn equation with a fidelity term (20250623) Sangkwon Kim, Youngjin Hwang, Junseok Kim, submitted, Applied Soft Computing, 2025.
4. Classification of N-component data using the vector-valued Allen–Cahn equations (20250625) Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Communications​ ​in​ ​Applied​ ​Mathematics​ ​and​ ​Computational​ ​Science, 2025.
5. Computational​ ​analysis​ ​of​ ​the​ ​dynamic​ ​properties​ ​of​ ​normalized​ ​time-fractional​ derivatives (20250815​)  Yunjae Nam, Soobin Kwak, Junseok Kim, submitted, Computer Physics Communications, 2025.
6. A data classification using a modified Allen-Cahn equation with a mesh size-dependent interfacial parameter and variable mobility on a triangular mesh (20250715) Seokjun Ham, Junxiang Yang, Jian Wang, Soobin Kwak, Yunjae Nam, Junseok Kim, submitted, ​Simulation Modelling Practice and Theory, 2025.
7. Performance​ ​assessment​ ​of​ ​numerical​ ​methods​ ​for​ ​solving​ ​the​ ​Allen-Cahn​ ​equation (20250704) Seokjun Ham, Juho Ma, Zhengang Li, Xinpei Wu, Yunjae Nam, Junseok Kim, submitted, Results​ ​in​ ​Mathematics, 2025.
8. Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations (20250326) Soobin Kwak, Sangkwon Kim, Junseok Kim, submitted, ​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2025.
9. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20250407) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Computer Vision and Image Understanding, 2025.
10. A cell structure implementation of the multigrid method for the three-dimensional diffusion equation (20250903) Youngjin Hwang, Soobin Kwak, Jyoti, Hyunho Shin, Xinpei Wu, Junseok Kim, submitted, ​Applied​ ​Numerical​ ​Mathematics, 2025.
11. Numerical analysis of a normalized time-fractional Lorenz system (20250811 억셉 될 경우 연구비지원) Juho Ma, Junseok Kim, submitted, Dynamical Systems, 2025. 
12. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20241127) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2025.
13. The normalized time-fractional phase-field model for shape transformation …  Jilong He, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2025.
14. Simulation​ ​of​ ​the​ ​zebra​ ​pattern​ ​formation​ ​with​ ​nonuniform​ ​strip​ ​widths​ ​on​ ​a​ ​3D​ ​model (20250708, cfdkim) Binhu Xia, Seokjun Ham, Youngjin Hwang, Junseok Kim, submitted, Bulletin​ ​of​ ​Mathematical​ ​Biology, 2025.
15. An efficient numerical scheme on nonuniform grids for a normalized time-fractional Black–Scholes equation (20250908 억셉 될 경우 연구비지원) Zhengang Li, Yunjae Nam, Juho Ma, Youngjin Hwang, Junseok Kim, submitted, Numerical Algorithms, 2025.
16. Optimal calibration of the temporally varying volatility function (20241211) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​International Journal of Finance & Economics, 2025.​

Mathematics in Engineering

Please find attached the PDF file with responses to the reviewer’ comments.

Please acknowledge receipt of this email

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

Jian Wang is supported by National Natural Science Foundation of China (No. 12501531).

The corresponding author (J.S. Kim) was supported by Korea University Grant
K2504591.